165128040 has 576 divisors, whose sum is σ = 729855360. Its totient is φ = 31933440.

The previous prime is 165128027. The next prime is 165128057. The reversal of 165128040 is 40821561.

165128040 is a `hidden beast` number, since 1 + 651 + 2 + 8 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165127995 and 165128013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4462902 + ... + 4462938.

It is an arithmetic number, because the mean of its divisors is an integer number (1267110).

Almost surely, 2^165128040 is an apocalyptic number.

165128040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364927680).

165128040 is an abundant number, since it is smaller than the sum of its proper divisors (564727320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165128040 is a wasteful number, since it uses less digits than its factorization.

165128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 165128040 is about 12850.2155623943. The cubic root of 165128040 is about 548.6224922239.

The spelling of 165128040 in words is "one hundred sixty-five million, one hundred twenty-eight thousand, forty".